I don't think you're right.
I see a lot on MN that trans rights shouldn't come at the expense of women's rights.
But I can't see people saying that trans people shouldn't have rights.
e.g. people shouldn't be discriminated in normal jobs because they are trans but where jobs are currently allowed to discriminate on sex, e.g. women can request a female for a smear test, women should continue to be allowed to ask for a biological woman.
e.g. if trans people can make the case for a gender neutral toilet then they should be able to have them but that shouldn't be at the expense of single sex toilets too (or changing rooms)
e.g. girl guides which has transitionally been a single sex organisation, shouldn't have just decided to be 'single gender' without consultation with guiding leaders and guiding members. And certainly shouldn't have a policy whereby biological girls are sharing tents with biological boys without their or their parent's knowledge or consent.
e.g. trans people in sport should recognise that we have single sex sports for a reason - because of biological differences between the sexes, which will not disappear the moment people 'self id' as the opposite gender.
I personally don't think those views are anti-trans-rights, but they are protecting women's rights.
I think most posters who post on this topic are happy for trans people to have their own spaces, and also for medically transitioned people to share spaces, but that people shouldn't be able to 'self id' and then say they should be treated in all cases like a biological woman.
Furthermore I also see a lot of concern that some young people are being encouraged to view themselves as trans when infact they may well be going through the usual confusion of puberty. So people are concerned that harm may be done to young people by the current 'trend' for gender fluidity.
Finally, many posters are saying that sex is a biological fact, and there is no other clear way to define women, given that outward signs (dress, make up, interests) and internal 'feelings' vary so wildly from person to person.
None of that is 'anti-trans'.